Paper Citation Record · LEDGER

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data

As of 8 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2509.06260.

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pith.paper-citation-record.v1
2509.06260 v1

Coverage vector

measured 34 of 34 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T23:59:14.986615Z

measured 34 of 34 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

34 of 34 outbound references displayed

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verified fuzzy6
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External citation measurements

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Outbound references

Observation edc2cc4b-403b-4d48-9594-dac945d0ad9a · outbound

This paper cites Marginal triviality of the scaling limits of critical 4D Ising andϕ 4 4 models.Ann.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Marginal triviality of the scaling limits of critical 4D Ising andϕ 4 4 models.Ann

Reference 1

Resolution: verified exact; doi, observed 2026-08-04T23:59:17.126031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 03c25985-2ecf-4783-8fe7-16f25da00eca · outbound

This paper cites The two-dimensional stochastic heat equation: renor- malizing a multiplicative noise.J.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data The two-dimensional stochastic heat equation: renor- malizing a multiplicative noise.J

Reference 2

Resolution: malformed identifier; no resolver link, observed 2026-08-04T23:59:12.006053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44645b9d-c0e5-496b-8c50-75ebd61760a7 · outbound

This paper cites an unresolved cited work.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-04T23:59:16.958060Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 21c0b646-0ca1-43a1-87ef-72ada9d14c60 · outbound

This paper cites 2D anisotropic KPZ at station- arity: scaling, tightness and nontriviality.Ann.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data 2D anisotropic KPZ at station- arity: scaling, tightness and nontriviality.Ann

Reference 4

Resolution: malformed identifier; no resolver link, observed 2026-08-04T23:59:12.194525Z

Source-reported events for the cited work

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Observation 9e837f10-0442-43d4-8df2-99598503e805 · outbound

This paper cites Weak coupling limit of the anisotropic KPZ equation.Duke Math.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Weak coupling limit of the anisotropic KPZ equation.Duke Math

Reference 5

Resolution: verified exact; doi, observed 2026-08-04T23:59:16.764979Z

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Observation 12f2510e-d49c-4bcf-b2c6-266d4663b349 · outbound

This paper cites Gaussian fluctuations for the stochastic Burgers equation in dimensiond≥2.Comm.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Gaussian fluctuations for the stochastic Burgers equation in dimensiond≥2.Comm

Reference 6

Resolution: verified exact; doi, observed 2026-08-04T23:59:16.641822Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b702a05a-0fba-4063-b821-85e2ef21cb46 · outbound

This paper cites The critical 2dstochastic heat flow is not a Gaussian multiplicative chaos.Ann.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data The critical 2dstochastic heat flow is not a Gaussian multiplicative chaos.Ann

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-04T23:59:12.513061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bd99ef6-b670-400b-bab0-41584cace572 · outbound

This paper cites The critical 2d stochastic heat flow.Invent.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data The critical 2d stochastic heat flow.Invent

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T23:59:12.627708Z

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Observation e57150c2-8956-4801-84e6-d46f6f181cc4 · outbound

This paper cites The two-dimensional KPZ equation in the entire subcritical regime.Ann.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data The two-dimensional KPZ equation in the entire subcritical regime.Ann

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:59:17.502511Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d8caa4fc-68aa-4a3c-96d1-bf3c52a39d17 · outbound

This paper cites Universality in marginally relevant disordered systems.Ann.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Universality in marginally relevant disordered systems.Ann

Reference 10

Resolution: verified exact; doi, observed 2026-08-04T23:59:16.506295Z

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Observation 473b2072-c359-4d9f-8d4c-797c3d2d7f8c · outbound

This paper cites Constructing a solution of the (2 + 1)-dimensional KPZ equation.Ann.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Constructing a solution of the (2 + 1)-dimensional KPZ equation.Ann

Reference 11

Resolution: verified exact; doi, observed 2026-08-04T23:59:16.332895Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f759652f-b9c2-40ef-b431-93fc7de19eae · outbound

This paper cites Central limit theorems for spatial averages of the stochastic heat equation via Malliavin-Stein’s method.Stoch.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Central limit theorems for spatial averages of the stochastic heat equation via Malliavin-Stein’s method.Stoch

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T23:59:13.076712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbc40ad9-4a8b-43b5-a5da-aa3ae3753fd5 · outbound

This paper cites Norm inflation for the cubic nonlinear heat equation above the scaling critical regularity.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Norm inflation for the cubic nonlinear heat equation above the scaling critical regularity

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-04T23:59:17.427654Z

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Observation 0db1c7fb-808a-4228-997f-fb61758ec54a · outbound

This paper cites Conditional GMC within the stochastic heat flow.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Conditional GMC within the stochastic heat flow

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T23:59:13.350794Z

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Observation 1f79cbbf-4c2e-40f0-9804-860320f680d9 · outbound

This paper cites Weak-disorder limit at criticality for directed polymers on hierarchical graphs.Comm.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Weak-disorder limit at criticality for directed polymers on hierarchical graphs.Comm

Reference 15

Resolution: verified exact; doi, observed 2026-08-04T23:59:16.116741Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f2f7ed70-6b0b-45f2-aeef-5385beb0b4b7 · outbound

This paper cites Ergodicity of infinite volume $\Phi^4_3$ at high temperature.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Ergodicity of infinite volume $\Phi^4_3$ at high temperature

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T23:59:13.494881Z

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Unavailable: canonical work link unavailable.

Observation e3fa73b1-c8e5-4d43-a33c-02d65b9391f5 · outbound

This paper cites Non-perturbative approach to the Bourgain-Spencer conjecture in stochastic homogenization.J.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Non-perturbative approach to the Bourgain-Spencer conjecture in stochastic homogenization.J

Reference 17

Resolution: verified exact; doi, observed 2026-08-04T23:59:15.915185Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5b079898-82e1-45f9-a316-4a1e666b7f0f · outbound

This paper cites The 2D nonlinear stochastic heat equation: pointwise statistics and the decoupling function, 2023.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data The 2D nonlinear stochastic heat equation: pointwise statistics and the decoupling function, 2023

Reference 18

Resolution: verified exact; raw_fallback, observed 2026-08-04T23:59:17.394519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6ff58856-84e4-4e05-a079-aa06c05d2425 · outbound

This paper cites A forward-backward SDE from the 2D nonlinear stochastic heat equation.Ann.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data A forward-backward SDE from the 2D nonlinear stochastic heat equation.Ann

Reference 19

Resolution: verified exact; doi, observed 2026-08-04T23:59:15.722737Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5a4d7721-9d8f-4df1-9782-6b3697902195 · outbound

This paper cites Prentice-Hall, Inc., Engle- wood Cliffs, NJ, 1964, pages xiv+347.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Prentice-Hall, Inc., Engle- wood Cliffs, NJ, 1964, pages xiv+347

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:59:17.491424Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0fbe154e-d52b-43b4-9f32-266eb12d5ff2 · outbound

This paper cites The Allen–Cahn equation with weakly critical random initial datum.Probability Theory and Related Fields, 192(3-4):1373–1446, 2025.doi: 10.1007/s00440-024-01312-1.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data The Allen–Cahn equation with weakly critical random initial datum.Probability Theory and Related Fields, 192(3-4):1373–1446, 2025.doi: 10.1007/s00440-024-01312-1

Reference 21

Resolution: verified exact; doi, observed 2026-08-04T23:59:15.537939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d37bc308-59c2-49f9-8920-608e4aa6fec0 · outbound

This paper cites Gaussian fluctuations from the 2D KPZ equation.Stoch.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Gaussian fluctuations from the 2D KPZ equation.Stoch

Reference 22

Resolution: verified exact; doi, observed 2026-08-04T23:59:15.331427Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1842f8f0-0cc2-4b83-9e37-d3b904fc6be2 · outbound

This paper cites Stochastic heat flow is a black noise, 2025.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Stochastic heat flow is a black noise, 2025

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:59:17.479954Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 369908df-1216-41fa-b563-164df7fc4559 · outbound

This paper cites The Allen-Cahn equation with generic initial datum.Probab.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data The Allen-Cahn equation with generic initial datum.Probab

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:59:17.469262Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2aee0e32-1285-4301-9913-dc4985c9a27a · outbound

This paper cites Ryser, and Hendrik Weber.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Ryser, and Hendrik Weber

Reference 25

Resolution: verified exact; doi, observed 2026-08-04T23:59:15.168504Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5e85f388-f17b-4d48-81d0-aa30ac676f2e · outbound

This paper cites Kohn and Felix Otto.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Kohn and Felix Otto

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T23:59:14.318416Z

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Unavailable: canonical work link unavailable.

Observation 67088286-9470-4b8f-82fc-408c2ee96b77 · outbound

This paper cites Global well-posedness of the dynamic Φ 4 model in the plane.Ann.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Global well-posedness of the dynamic Φ 4 model in the plane.Ann

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T23:59:14.388640Z

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Unavailable: canonical work link unavailable.

Observation 59954eb5-8513-4580-86c7-c2fc9cd63bec · outbound

This paper cites Second order Poincar´ e inequalities and CLTs on Wiener space.J.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Second order Poincar´ e inequalities and CLTs on Wiener space.J

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T23:59:14.476540Z

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Unavailable: canonical work link unavailable.

Observation ba760a51-6e86-4f1c-b0d2-e1727f5979d6 · outbound

This paper cites Probability and its Applications (New York).

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Probability and its Applications (New York)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:59:17.458759Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5fd80a23-50a1-4b16-b183-c93f7af78ded · outbound

This paper cites Universal scaling in the motion of random interfaces.Phys.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Universal scaling in the motion of random interfaces.Phys

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T23:59:14.654995Z

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Observation 58fda477-cb1a-4644-968a-9fca150493ec · outbound

This paper cites Parisi and Yong Shi Wu.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Parisi and Yong Shi Wu

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:59:17.448388Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 04a444f4-9080-41f2-98d3-3ead0d3eb5a4 · outbound

This paper cites Stochastic heat flow by moments, 2025.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Stochastic heat flow by moments, 2025

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T23:59:14.851968Z

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Observation fce91136-8d55-4638-8238-ba407d186bdc · outbound

This paper cites an unresolved cited work.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-04T23:59:17.437517Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c58cee1b-fac4-473d-ab28-4fcd782f55ee · outbound

This paper cites Viens and Andrew B.

McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Viens and Andrew B

Reference 34

Resolution: malformed identifier; no resolver link, observed 2026-08-04T23:59:14.986615Z

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